Rigidity of equivariant Schubert classes

Anders S. Buch, Pierre-Emmanuel Chaput, Nicolas Perrin
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引用次数: 0

Abstract

We prove that Schubert varieties in flag manifolds are uniquely determined by their equivariant cohomology classes, as well as a stronger result that replaces Schubert varieties with closures of Bialynicki-Birula cells under suitable conditions. This is used to prove that any two-pointed curve neighborhood representing a quantum cohomology product with a Seidel class is a Schubert variety.
等变舒伯特类的刚性
我们证明了旗流形中的舒伯特变是由它们的等变同调类唯一决定的,同时还证明了一个更强的结果,即在合适的条件下,舒伯特变与比利亚里尼奇-比鲁拉单元的闭包可以互换。这一结果被用来证明任何代表量子同调积与塞德尔类的两点卷曲邻域都是舒伯特变。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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